Numerical Simulations of the Quantized Vortices on a
Thin Superconducting Hollow Sphere

报告摘要：

In this talk, we investigate the vortex nucleation on a thin
superconducting hollow sphere. The problem is studied using a
simplified system of Ginzburg-Landau equations which are valid
in the thin spherical shell limit. We present numerical algorithms
which preserve the discrete gauge invariance for the time dependent
simulation and prove their theoretical convergence. The spatial
discretization is based on a spherical centroidal Voronoi tessellation
which offers a very effective high resolution mesh on the sphere for
the order parameter as well as other physically interesting variables
such as the super-current and the induced magnetic field. Various
vortex configurations and energy diagrams are computed.